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Finding the Fourth Proportional to 9,454.43, 13,050.68 and 7,432.57

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Solution

The fourth proportional to 9,454.43, 13,050.68 and 7,432.57 is: 10,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,454.43 : 13,050.68 = 7,432.57 : x
  2. Step 2: Convert to fraction form
    9,454.43/13,050.68 = 7,432.57/x
  3. Step 3: Cross multiply
    9,454.43x = 13,050.68 × 7,432.57
  4. Step 4: Simplify right side
    9,454.43x = 97,000,087.35
  5. Step 5: Solve for x
    x = 97,000,087.35/9,454.43
  6. Step 6: Final answer
    x = 10,259.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.